Stale Solbakken had only praise for his critics after Wolves ended a nine-match run without a win in style at Ashton Gate.
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The manager had come under heavy fire from discontented supporters, but saw the pressure lifted with four first-half goals against opponents destined for League One on this form.
A relieved Solbakken said: "The fans are entitled to be critical during poor runs and I have no problem with that.
"We are a big club and expectations are high
"If there wasn't a passionate reaction it would suggest no one cared. It is something we have to deal with.
"Maybe we got the bit of luck we have been missing, the the first goal being an own goal, but after that we played very well.
"We lost David Edwards with a hamstring injury to add to the ones we already have, but other than that I am very happy.
"I hope we can be a December team because we certainly weren't a November team. But we will not get carried away by one result."
Sylvan Ebanks-Blake had already missed an open goal chance when Stephen Ward's 21st-minute cross-shot deflected off Neil Danns to break the deadlock on 21 minutes.
Four minutes later Bjorn Sigurdarson broke down the right and crossed low for Kevin Doyle to force the ball home from close range.
Doyle then produced a 40-yard solo run and a clinical low finish five minutes before the break and Sigurdarson took advantage of more wretched defending to add the fourth with another well placed shot.
City were booed off by their own fans at half-time. Manager Derek McInnes then introduced Sam Baldock alongside previously lone striker Ryan Taylor and saw his side pull a goal back through a late 30-yard drive from Danns.
McInnes said: "We lost the physical battles and it was a very poor performance.
"It was on the back of two decent away displays and I didn't see it coming. We never got to grips with the Wolves front two all game and our fans are entitled to be upset.
"Being booed off is never nice, but I can understand their feelings. After we lost the first goal we capitulated and Wolves grew in confidence.
"Even though we won the second half, as I asked the lads to do at half-time, Wolves had more chances.
"The goals we gave away were awful. Wolves were stronger than us all over the park and that was a major factor."
Roger Johnson hit the crossbar with a second-half header as the visitors created chances at will for most of the game.
City are without a home win in three months and look certain relegation candidates on this form.
For Solbakken, though, there is suddenly something to build on as 1,700 Wolves fans went home happy.